Neutrino dispersion in a charge-symmetric plasma

The tree-level two-point amplitudes for the transitions jf → j f , where f is a fermion and j is a generalized current, in a constant uniform magnetic field of an arbitrary strength and in charged fermion plasma, for the jf f interaction vertices of the scalar, pseudoscalar, vector and axial-vector types have been calculated. The generalized current j could mean the field operator of a boson, or a current consisting of fermions, e.g. the neutrino current. The particular cases of a very strong magnetic field, and of the coherent scattering off the real fermions without change of their states (the "forward" scattering) have been analysed. The contribution of the neutrino photoproduction process, γe → eνν, to the neutrino emissivity has been calculated with taking account of a possible resonance on the virtual electron. October 21, 2018 23:18 WSPC/INSTRUCTION FILE Kuzn˙Rum˙Shlen˙Gen˙Compt˙corr 2 A. V. Kuznetsov, D. A. Rumyantsev, D. M. Shlenevwhere P is the rotational period. It is well-known that strong magnetic field and/or plasma could have an essential influence on various quantum processes, 3-6 because the external active medium catalyses the processes, by changing their kinematics and inducing new interactions. Therefore, the effects of magnetized plasma on microscopic physics should be incorporated in the magnetosphere models of strongly magnetized neutron stars. In the present paper we consider the two-point processes, because such reactions can have possible resonant behavior, and therefore they could be very interesting for astrophysical applications. 7The investigation of the two-point processes in an external active medium (electromagnetic field and/or plasma) has a rather long history. The most general expression for a two-vertex loop amplitude of the form j → ff → j in a pure constant uniform magnetic field and in a crossed field was obtained previously in Ref. 8, where all possible combinations of scalar, pseudoscalar, vector, and axial-vector interactions of the generalized currents j and j with fermions were considered. The generalized current j could mean the field operator of a boson, or a current consisting of fermions, e.g. the neutrino current.The typical example of a tree-level process with two vector vertices in the presence of magnetized plasma is the Compton scattering, γe → γe, as a possible channel of the radiation spectra formation. In this case, both generalized currents j and j mean the photon field operators. This process was studied in a number of papers, see e.g. Refs. 9-15, but the results were presented there in the form without taking account of the photon dispersion properties. In Ref. 16 this neglect was corrected. The expression for the Compton scattering amplitude, with the initial and final electrons being on the lowest Landau level was presented in Ref. 16 in the explicit Lorentz invariant form. The other example of the Compton like process with the vector and axial-vector vertices, the photon transition into the neutrino pair in the presence of magnetized plasma, γe → eνν,...

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“…( 30) into the expression for the luminosity (22), and taking into account Eqs. ( 29) and (32), we obtain:…”

Section: 2018 23:18 Wspc/instruction File Kuzn˙rum˙shlen˙gen˙compt˙corrmentioning

confidence: 99%

Generalized two-point tree-level amplitude j f → j′ f′ in a magnetized medium

Кузнецов

Rumyantsev

Shlenev

2015

Int. J. Mod. Phys. A

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“…It should be remembered that the use of these equations for the interpretation of the intermediate state structure con tradicts some other well established concepts, e.g. the Hammond postulate [33].…”

Section: Resultsmentioning

confidence: 99%

Quantitative correlations relating the interaction of Zn(II)-tetraphenylporphine and horseradish peroxidase with amines

Andreev

Sobolev

2012

Russ J Bioorg Chem

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Reactions ofnucleophilic substitution and enzymatic processes with participation of metal-porphyrins (MP) are considered from the point of view of Zn-tetraphenylporphin (Zn-TPhP) coordination with corresponding ligand/nucleophyl/substrate/base. Linear correlations perform between kinetic parameters of process of coordination of Zn-TPhP in chloroform (constants of stability) and reactions of nucleophilic substitution both in aqueous and organic solvents with participation ofpyridines, N-oxides ofpyridines, anilines, primary amines and oxidation of anilines by horseradish peroxidase in aqueous solutions (rate constants). Thermodynamic parameters of complexation and nucleophilic substitution mutually correlate linearly in the case of pyridines, anilines and primary amines.

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“…Consequently, spin‐1 systems are the simplest candidate for spin nematic order. [ 36,47,113–116 ] Within our framework, this naturally follows from the general theory of order parameters, which also allows to define higher‐order phases for spin‐3/2 particles that are known to have richer phase diagrams. [ 117 ] Nematic order can, however, also arise in spin‐1/2 systems.…”

Section: Application To Spinsmentioning

confidence: 99%

Orientational Order Parameters for Arbitrary Quantum Systems

Vrugt

Wittkowski

2020

Annalen der Physik

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The concept of quantum-mechanical nematic order, which is important in systems such as superconductors, is based on an analogy to classical liquid crystals, where order parameters are obtained through orientational expansions. This method is generalized to quantum mechanics based on an expansion of Wigner functions. This provides a unified framework applicable to arbitrary quantum systems. The formalism recovers the standard definitions for spin systems. For Fermi liquids, the formalism reveals the nonequivalence of various definitions of the order parameter used in the literature. Moreover, new order parameters for quantum molecular systems with low symmetry are derived, which cannot be properly described with the usual nematic tensors.

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Neutrino dispersion in a charge-symmetric plasma

Cited by 8 publications

References 9 publications

Generalized two-point tree-level amplitude j f → j′ f′ in a magnetized medium

Generalized two-point tree-level amplitude j f → j′ f′ in a magnetized medium

Quantitative correlations relating the interaction of Zn(II)-tetraphenylporphine and horseradish peroxidase with amines

Orientational Order Parameters for Arbitrary Quantum Systems

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